Find the second derivative of the function. $f ( x ) = 3 x ^ { \frac { 4 } { 7 } }$
A) $f ^ { \prime \prime } ( x ) = \frac { - 36 } { 49 } x ^ { \frac { 3 } { 7 } }$
B) $f ^ { \prime \prime } ( x ) = \frac { 4 } { 49 } x ^ { \frac { - 10 } { 7 } }$
C) $f ^ { \prime \prime } ( x ) = \frac { 147 } { 49 } x ^ { \frac { - 10 } { 7 } }$
D) $f ^ { \prime \prime } ( x ) = \frac { - 36 } { 49 } x ^ { \frac { - 10 } { 7 } }$
E)None of the above

Question

Quizplus · Accepted Answer

The first derivative is $f'(x) = \frac{12}{7} x^{-\frac{3}{7}}$. The second derivative is $f''(x) = \frac{-36}{49} x^{-\frac{10}{7}}$.

Find the Second Derivative of the Function f(x)=3x47f ( x ) = 3 x ^ { \frac { 4 } { 7 } }f(x)=3x74​

Find the Second Derivative of the Function $f ( x ) = 3 x ^ { \frac { 4 } { 7 } }$